Lower bounds on mapping content and quantitative factorization through trees

DOI10.1112/jlms.12595arXiv2107.01108OpenAlexW3181219433WikidataQ114077839 ScholiaQ114077839MaRDI QIDQ6134506

Guy C. David, Raanan Schul

Publication date: 22 August 2023

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.01108

Mathematics Subject Classification ID

Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Analysis on metric spaces (30L99)

Related Items (1)

Smooth approximation of mappings with rank of the derivative at most 1

Cites Work

• Discrete length-volume inequalities and lower volume bounds in metric spaces
• A singular map of a cube onto a square
• Ellipsoids of maximal volume in convex bodies
• Lectures on analysis on metric spaces
• Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps
• Lipschitz homotopy groups of the Heisenberg groups
• Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
• The coarea inequality
• An implicit theorem for Lipschitz mappings into metric spaces
• A quantitative metric differentiation theorem
• Topologically Nontrivial Counterexamples to Sard’s Theorem
• Lipschitz mappings, metric differentiability, and factorization through metric trees
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